Second, consider process (II) wavefront shaping as depicted in Fig. REF (b). In the presence of wavefront shaping, the scattered light can be directed towards a focus in any desired output mode with a scattering lens [1]}. Mathematically, the related input-output relation [2]} can be characterized as
\(\hat{a}_{b}^{\rm {w}} = \sum _{a^{\prime }}{|t_{a^{\prime }b }| \hat{a}_{a^{\prime }}^{\rm {in}}} + \sum _{b^{\prime }}{r_{b^{\prime }b } \hat{a}_{b^{\prime }}^{\rm {in}}},\) 
